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Finding the Fourth Proportional to 14,143, 21,198.36 and 6,736.96

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Solution

The fourth proportional to 14,143, 21,198.36 and 6,736.96 is: 10,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143 : 21,198.36 = 6,736.96 : x
  2. Step 2: Convert to fraction form
    14,143/21,198.36 = 6,736.96/x
  3. Step 3: Cross multiply
    14,143x = 21,198.36 × 6,736.96
  4. Step 4: Simplify right side
    14,143x = 142,812,503.39
  5. Step 5: Solve for x
    x = 142,812,503.39/14,143
  6. Step 6: Final answer
    x = 10,097.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.